Mystery Product Space

h2oskidude

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Joined
Apr 13, 2012
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4
P2 has a mysterious inner product * for which {x+4, 3x-5} is an orthonormal basis. IS there enough information to tell what is the length of 1? If so, compute it. If not say why not.


I"m confused by the length of 1 portion at the end. Do we input 1 for x, solve and get{5,-2} and then compute the length?
 
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